Math, asked by puggalj, 6 months ago

16 cm
#
16 cm
10 cm
16 cm
35 cm
16 cm
10 cm
16 cm
#
16 cm find the area of polygon ​

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Answers

Answered by asj71718
14

Step-by-step explanation:

Clearly by observation we can see that the polygon is of two trapeziums of equal length and height....

Area of trapezium is given by,

 \frac{1}{2}  \times height \times (sum \: of \: parallel \: sides)

so as we already found in observation that the polygon is of two trapeziums of equal length and height.. area of the given polygon can be given by,

2( \frac{1}{2}  \times height \times (sum \: of \: parallel \: sides)

By observation,

height is equal to 10 cm.... parallel side one is equal to 35 cm and parallel side two is equal to 16 cm...

By substituting the values, we get,

2( \frac{1}{2}  \times 10 \times (35 + 16)) \\  \\ =  >  2(5)(51) = 51(10) = 510 \:  {cm}^{2}

Therefore area of the Polygon is equal to 510 CM square...

Mark as Brainliest....

Answered by subhamchand123sc
2

Step-by-step explanation:

we can see that the polygon is of two trapeziums of equal length and height....

Area of trapezium is given by,

\frac{1}{2} \times height \times (sum \: of \: parallel \: sides)

2

1

×height×(sumofparallelsides)

so as we already found in observation that the polygon is of two trapeziums of equal length and height.. area of the given polygon can be given by,

2( \frac{1}{2} \times height \times (sum \: of \: parallel \: sides)2(

2

1

×height×(sumofparallelsides)

By observation,

height is equal to 10 cm.... parallel side one is equal to 35 cm and parallel side to see equal to 16 cm...

By substituting the values, we get,

\begin{gathered}2( \frac{1}{2} \times 10 \times (35 + 16)) \\ \\ = > 2(5)(51) = 51(10) = 510 \: {cm}^{2}\end{gathered}

2(

2

1

×10×(35+16))

=>2(5)(51)=51(10)=510cm

Therefore area of the Polygon is equal to 510 CM square...

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